I’m confused on how to solve this problem.

Answer:

(-4, -3)

Step-by-step explanation:

The graph of both lines will be shown below.

To find the solution, we need to find the point on the graph that both lines intersect on.

As we can see, both lines intersect on the point (-4, -3). Thus, that is the solution.

Best of Luck!

Answer:

X=-4 y=-3

Step-by-step explanation:

Solve by substitution:

Step: Substitute

2x+5 for y in y = −3x−15 :

2x+5+3x=-3x-15+3x ( add 3x to both side)

5x+5=-15

5x+5+-5=-15+-5(add -5 to both sides)

5x=-20

5x/5=-20/5(divide both sides by 5)

X=-4

Step: substitute -4 for x in y=2x+5

Y=2x+5

Y=(2)(-4)+5

y=-3 (simplify both sides of the equation)

I HOPE ITS CORRECT IF IT SNOT IM SORRY!!

Answer:104

Step-by-step explanation:

104+75=180

The method can you ALWAYS use to solve the quadratic equation will be the Quadratic Formula method. Then the correct option is C.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

A math question If an equation is written in standard form.

The factorization method sometimes gets difficult from the big number and in the case of the complex root. So, in that case, we use other methods.

In the Isolate the Square, we can find the roots of the equation. But the formula is also derived by this method. So, we do not even prefer this, method.

In this Quadratic Formula method, the formula is derived from the above method which is to Isolate the Square. Then this can be used always.

The method can you ALWAYS use to solve the quadratic equation will be the Quadratic Formula method. Then the correct option is C.

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

#SPJ6

Answer:

2

Step-by-step explanation:

4+x=6 = 6-4=x

x=2

Answer:

2

Step-by-step explanation:

6-4=2

x=2

4+2=6

The size of the population at the beginning of month 7 is 112.

A. The recurrence relation for the size of the population at the beginning of month n can be expressed as follows:

P(n) = \(2 * P(n-1) - 2^{n-2}\)

This relation represents the doubling of the population from the previous month (2 * P(n-1)) minus the number of specimens that have died due to the infection\((2^{n-2}).\) Note that for the first month (n = 1), no specimens have died, so the term \(2^{n-2}\)  is equal to zero.

B. To solve this recurrence relation, we can use a recursive approach or use the closed-form formula. Let's use the closed-form formula:

P(n) = \(2^n - 2^{n-2}\)

This formula directly gives us the size of the population at the beginning of month n.

C. To find the size of the population at the beginning of month 7, we substitute n = 7 into the formula:

P(7) =\(2^7 - 2^{7-2}\)

    = 128 - 16

    = 112

Therefore, the size of the population at the beginning of month 7 is 112.

Learn more about population  https://brainly.com/question/29885712

#SPJ4

Answer:

25 Tickets

Step-by-step explanation:

120+30=150

150/6=25

Answer:

Step-by-step explanation:

The question is about area of a triangle

The formula for a triangle's area is

Area = 1/2 h * b

h = 8

b = 20

Solution

Area = 1/2 20 * 8

Area = 80 ft^2

Herman plans to paint a triangular section of his house. The house is 20 feet long. The height of the triangular section is 8 feet. How many square feet of paint will Herman need?

Given -

Need to find -

Solution -

This question is based on Area of a triangle to solve this question we need to calculate the area of the triangular section of the house.

We know,

\(⍟ \large \ \boxed { \rm{ Area_{(triangle)} = \dfrac{1}{2} × b × h }}\)

Where,

Substituting the value of h = 8 feet and b = 20 feet

\( \large\sf{ Area_{(triangle)} = \dfrac{1}{2} × 20 × 8 }\)

\( \large\rm{ Area_{(triangle)} = \dfrac{1} { \cancel{2}} × \cancel{20 }× 8 }\)

\( \large\rm{Area_{(triangle)} = 10 × 8} \)

\( \large \red{\underline{\color {red} \boxed{ \sf{Area_{(triangle)} = 80 \: {feet}^{2 }} }}}\)

Hence, Herman need 80 square feet of paint to paint the triangular section of his house

\( \rule{182mm}{4pt}\)

Formulas of Area

Using the sine function:

Total profit earned = 25000000 dollars

Profit is a financial achievement which is the difference between the amount of money or resources people earned and the amount is spent in various purpose. In case of a business organization, the difference between production and cost is termed as profit. Let, someone invested money for operating business, he needs to spend money for workers, for the welfare of business and after all these he has amount that comes from business that is called profit.

Given, profit earned = $ 2.5 × 10⁴ in the 1×10³ days in a row

total profit earned during this time = $(2.5 × 10⁴ × 10³)

                                                         $2.5 × 10⁷

To know more about profit visit:

https://brainly.com/question/15699405

#SPJ1

The equivalent expression of the expression 10+4(-8q-4) is -32q-6

The expression is 10+4(-8q-4)

First we have to open the bracket, so we have to apply the distributive property in the expression

The distributive property states that multiplying the sum of two or more

variables by a number gives the same result as when each variable is multiplied individually by the number and the products are added together

Distributive property for the addition is

A(B+C) = AB + AC

Distributive property for the subtraction is

A(B-C) = AB - AC

10+4(-8q-4) = 10+ (-32q) +(-16)

= 10-32q-16

Addition of like terms

10-32q-16 = -32q+(10-16)

= -32q-6

Hence, the equivalent expression of the expression 10+4(-8q-4) is -32q-6

Learn more about distributive property here

brainly.com/question/13130806

#SPJ1

The order of a matrix is a way to describe its size or dimensions in terms of the number of rows and columns it has.

It is typically represented by the notation m x n, where m is the number of rows and n is the number of columns. For example, a matrix with 3 rows and 4 columns would have an order of 3 x 4.

The order of a matrix is important because it determines how the matrix can be operated on or manipulated, such as in matrix addition, multiplication, or transposition.

It is a fundamental concept in linear algebra and is used extensively in many fields, including mathematics, physics, engineering, and computer science.

Learn more about matrix:

https://brainly.com/question/28180105

#SPJ4

The point (9, -7) is the only solution to the system of linear inequalities given.

To determine which point would be a solution to the system of linear inequalities, let's substitute the given points into the inequalities and see which point satisfies both inequalities.

The system of linear inequalities is:

y > -4x + 6

y > (1/3)x - 7

Let's test each given point:

For the point (9, -7):

Substituting the values into the inequalities:

-7 > -4(9) + 6

-7 > -36 + 6

-7 > -30 (True)

-7 > (1/3)(9) - 7

-7 > 3 - 7

-7 > -4 (True)

Since both inequalities are true for the point (9, -7), it is a solution to the system of linear inequalities.

For the point (-12, -2):

Substituting the values into the inequalities:

-2 > -4(-12) + 6

-2 > 48 + 6

-2 > 54 (False)

-2 > (1/3)(-12) - 7

-2 > -4 - 7

-2 > -11 (False)

Since both inequalities are false for the point (-12, -2), it is not a solution to the system of linear inequalities.

For the point (12, 1):

Substituting the values into the inequalities:

1 > -4(12) + 6

1 > -48 + 6

1 > -42 (True)

1 > (1/3)(12) - 7

1 > 4 - 7

1 > -3 (True)

Since both inequalities are true for the point (12, 1), it is a solution to the system of linear inequalities.

For the point (-12, -7):

Substituting the values into the inequalities:

-7 > -4(-12) + 6

-7 > 48 + 6

-7 > 54 (False)

-7 > (1/3)(-12) - 7

-7 > -4 - 7

-7 > -11 (True)

Since one inequality is true and the other is false for the point (-12, -7), it is not a solution to the system of linear inequalities.

In conclusion, the point (9, -7) is the only solution to the system of linear inequalities given.

For similar question on inequalities.

https://brainly.com/question/28755685  

#SPJ8

Answer:

The volume would be approximately 2143.573333...

The correct option is C. Isolating a variable in one of the equations.

The first step in solving a system of nonlinear equations by substitution is to isolate a variable in one of the equations.

A set of two or more equations in two or more variables that includes at least one nonlinear equation is referred to as a system of nonlinear equations.

The method to solve a system of nonlinear equations by substitution is-

The importance of systems of nonlinear equations are-

To know more about the system of equations, here

https://brainly.com/question/13729904

#SPJ4

The complete question is-

Which is most likely the first step in solving a system of nonlinear equations by substitution?

A. Substituting a number for one of the variables

B. Substituting one equation into the other equation

C. Isolating a variable in one of the equations

D. Taking the square root of both sides of one of the equations

Answer:

Isolating a variable in one of the equations.

Step-by-step explanation:

The temperature on Sunday was 2.75° C .

The temperature on Saturday was 6 1/2

Converting mixed fractions into an improper fraction

6 1/2 = 6×2 + 1/2 =13/2

Convert fraction into decimal

13/2 = 6.5° C

The temperature on Sunday was 3 3/4°C colder

Converting mixed fractions into an improper fraction

3 3/4 = (3 × 4 + 3)/4 = 15/4

Convert fraction into decimal

27/4 = 3.75° C

As temperature gets colder we will subtract from temperature of Saturday

Temperature on Sunday = 6.5 - 3.75

Temperature on Sunday = 2.75° C

The temperature on Sunday was 2.75° C .

To know more temperature about click here :

https://brainly.com/question/7510619

#SPJ4

The question is incomplete the complete question is :

The temperature on Saturday was 6 1/2 °C. On Sunday, it became 3 3/4 °C colder. What was the temperature on Sunday?

A. 2.75ºC

B. 6.7ºC

C. 9.75ºC

D. 10.25ºC

Answer:

110.25

Step-by-step explanation:

Cost of 1 pen = 15.75

Cost of 7 pens = 15.75 × 7 = 110.25

Answer:

$110.25

Step-by-step explanation:

1 pen = $15.75

7 pens x $15.75 = $110.25

(this pen is expensive t.f)

The derivative of F(x) is \(F'(x) = x^{(1/3)\).

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

To find the derivative of the given function F(x), we will apply the fundamental theorem of calculus and differentiate the integral with respect to x.

Let's compute F'(x):

F(x) = ∫[0 to x] \(t^{(1/3)} dt\)

To differentiate the integral with respect to x, we'll use the Leibniz integral rule:

F'(x) = d/dx ∫[0 to x] \(t^{(1/3)} dt\)

According to the Leibniz integral rule, we have to apply the chain rule to the upper limit of the integral.

\(F'(x) = x^{(1/3)} d(x)/dx - 0^{(1/3)} d(0)/dx\)   [applying the chain rule to the upper limit]

Since the upper limit of the integral is x, the derivative of x with respect to x is 1, and the derivative of 0 with respect to x is 0.

\(F'(x) = x^{(1/3)} (1) - 0^{(1/3)} (0)\)

\(F'(x) = x^{(1/3)\)

Therefore, the derivative of F(x) is \(F'(x) = x^{(1/3)\).

Learn more about function on:

https://brainly.com/question/7693326

#SPJ4

Answer:

81

Step-by-step explanation:

Take half of the x-term coefficient, and square it.

Half of 18 is 9.

9² = 81

Answer: 81

(a) The firm's output supply function is given by q = (p + 199) / 2.

(b) The market-equilibrium price is $32.56, and the equilibrium number of firms is 10.

(c) Each firm sells 70 computers in the long run.

(39 - 0.009q) = (2q - 2) / q

Simplifying the equation, we find:

q = (p + 199) / 2

This represents the firm's output supply function.

p = 39 - 0.009((p + 199) / 2)

Simplifying and solving for p, we get:

p ≈ $32.56

Substituting this price back into the output supply function, we find:

q = (32.56 + 199) / 2 ≈ 115.78

Given that each firm produces 70 computers in the long run, we can calculate the equilibrium number of firms:

Number of firms = q / 70 ≈ 10

70 * 10 = 700

Learn more about  Equilibrium

brainly.com/question/30694482

#SPJ11

Answer:

7.81 miles

Step-by-step explanation:

pythagorean theorem, 6 units downwards, and 5 east, so we have to calculate the hypotenuse, or sqrt( 6^2 + 5^2) which is sqrt61 or 7.81 miles

Answer: Two planes intersecting in a line

Explanation:

The wall and floor are two different planes. They meet up to form a line which is the crease between them.

A plane is a flat surface without any bends or curves to it. In theoretical terms, planes go on forever in all directions. Realistically there are limits of course. The wall or floor cannot go on forever.

Another example of two planes would be found in a book. Each page is a plane. Two adjacent pages meet up to form a line (i.e. the spine of the book is a line).

The worth of a $300 investment at an annual interest rate of 8% per year after 30 years can be calculated using the compound interest formula. The worth of the investment after 30 years will be approximately $1,492.22.

1. Start with the initial investment amount: $300.

2. Calculate the interest rate as a decimal: 8% = 0.08.

3. Use the compound interest formula: A = P(1 + r/n)^(nt), where A is the final amount, P is the principal (initial investment), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

4. Plug in the given values into the formula:

  A = 300(1 + 0.08/1)^(1*30)

  A = 300(1 + 0.08)^30

  A ≈ 300(1.08)^30

5. Calculate the final amount using a calculator or spreadsheet:

  A ≈ 300 * 5.1847055

  A ≈ $1,555.41

Therefore, the worth of the $300 investment after 30 years at an annual interest rate of 8% will be approximately $1,492.22.

To learn more about investment, click here: brainly.com/question/25015549

#SPJ11

The statement that can be made about Danny's triangle is D. Danny's triangle could be any equilateral triangle

An equilateral triangle, which is also referred to as a "regular" triangle, is a triangle with three equal-length sides. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a special case of an isosceles triangle.

An equilateral triangle in geometry is a triangle with equal-length sides on all three sides. In the well-known Euclidean geometry, an equilateral triangle is also equiangular, meaning that each of its three internal angles is 60 degrees and congruent with the others.

In conclusion, the correct option is D.

Learn more about triangles on:

https://brainly.com/question/17335144

#SPJ1

Answer:

There is no attachment

Step-by-step explanation:

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

What is matrix ?

A matrix is a rectangular array of numbers or other mathematical objects, typically arranged in rows and columns. Matrices are often denoted using capital letters, such as A, B, and C. Each element of a matrix is identified by its row and column indices,

1) False, If two row interchanges are made in succession, the determinant of the new matrix is the negative of the determinant of the original matrix.

2) False, If the determinant of a matrix is zero, it does not necessarily mean that two rows or two columns are the same or a row or column is zero, it only means that the matrix is singular, i.e. non-invertible and it also can mean that the matrix is linearly dependent.

3) False, The determinant of a matrix is not always equal to the product of the diagonal entries, it is a scalar value calculated through a specific method called matrix expansion which is based on the entries of the matrix and it depends on the size of the matrix.

4) False, The determinant of a matrix is a scalar value, it cannot be equal to another matrix.

Statements are False: 1. interchanging rows changes determinant. 2. determinant zero not implies specific rows. 3. determinant not product of diagonal entries. 4. determinant is scalar not matrix.

To learn more about matrix visit : brainly.com/question/29132693

#SPJ4

The monthly payments for a $22,000 car loan with a 4-year term, 7% APR, and no down payment required would be $398.48.

To calculate the monthly payments on a 4-year loan with an annual percentage rate (APR) of 7 percent and no down payment required, we can use the formula for calculating the monthly payment on an amortizing loan. The formula is:M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:M = Monthly payment

P = Principal amount (loan amount)

r = Monthly interest rate (APR divided by 12 months)

n = Total number of payments (number of years multiplied by 12 months)

In this case, the principal amount (P) is $22,000, the annual interest rate (APR) is 7 percent, and the loan term is 4 years.First, we need to convert the annual interest rate to a monthly rate by dividing it by 12:

r = 0.07 / 12 = 0.00583

Next, we calculate the total number of payments:

n = 4 * 12 = 48

Now, we can plug in the values into the formula:

M = 22,000 * (0.00583 * (1 + 0.00583)^48) / ((1 + 0.00583)^48 - 1)

Calculating this expression will give us the monthly payment.

The correct answer is $398.48.

To learn more about percentage click here

brainly.com/question/14695543

#SPJ11

Step-by-step explanation:

Q1. diameter =90yd radius=45

circumference of circle=2×pi×radius

"" =2×3.14×45

=282.6 yd

Q2 diameter =18m radius=9

area of circle=pi×(radius)

""" =3.14×9²

""" =254.34m²